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Description

Over the past few decades, there has been numerous research studies conducted involving the synchronization of dynamical systems with several theoretical studies and laboratory experimentations demonstrating the pivotal role for this phenomenon in secure communications.

Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption explores the combination of ordinary and time delayed systems and their applications in cryptographic encoding. This innovative publication presents a critical mass of the most sought after research, providing relevant theoretical frameworks and the latest empirical research findings in this area of study.

Topics Covered

The many academic areas covered in this publication include, but are not limited to:

Chaos synchronization on technology and science

Delayed optoelectronic feedback

Dynamical systems

Mathematical treatment for constructing a countermeasure

Optical chaotic cryptosystems

Projectional differential neural networks

Secure transmission of analog information

Simple chaotic electronic circuits

State observation of uncertain chaotic systems

Symmetric cryptosystems

Synchronization of chaotic oscillators

Table of Contents and List of Contributors

Preface

In the past decades, the advent of electronic computers and, later, of the network of such computers, presently known as the World Wide Web, has exponentially increased the amount of data exchanged among the most diverse people, areas and organizations, all over the world. This has brought about many advantages to the academic institutions, to the military structures to the financial institutions, to banks and corporations of all sizes, to the public administrations, governments etc. A detailed list of all those interested in the exchange of information over the internet is presently impossible. One simply observes that practically everybody in the industrialized world is directly or indirectly interested in that, while larger and larger fractions of the populations from the emerging economies are rapidly becoming interested in that.

In particular, sensitive information and information protected by privacy laws constitute a
large fraction of the total information being transmitted by all forms of telecommunication
equipments. Therefore, the development of secure communication has become impelling, in order to prevent an-authorized people from intercepting and embezzling information meant to others.

The most obvious way of achieving this goal is to encrypt the data that is to be transmitted.
Among the most promising encrypting techniques, we find those based on chaotic synchronized
dynamics, which constitute the subject of the present timely collection of research papers.

Chaos is one type of deterministic, hence in principle fully predictable, dynamic behaviour,
which, however, turns out to be as unpredictable as a stochastic process, in practice. This
is related to the impossibility of knowing with infinite precision the initial state of the
system at hand. Also, a chaotic signal enjoys the characteristics of e.g. aperiodicity.

Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering.
For instance, one challenging problem, faced by the current biological sciences, concerns our
understanding of the emergence of collective coherent behaviours, from groups of interacting functional units, separately displaying complicated behaviours. In particular, it is remarkable that chaotic systems can be synchronized letting them communicate only a part of the information concerning their state.

When this phenomenon was discovered, it became immediately clear that it could have been used to create keys for cryptography using the unsent state spaces. Indeed, by using the proper keys, or interactions, the sender may be synchronized with the receiver, and only part of the data needs to be transmitted, for the whole message to be delivered. This significantly reduces the possibility that the message be understood by an-authorized people.

As perfect, 100% secure, ways of encrypting a message may not be realizable, even chaotic
synchronization needs to be tested and further developed, while remaining one of the most promising tools for secure communication in the years to come. This makes the present collection of papers especially timely and useful.

Author(s)/Editor(s) Biography

Santo Banerjee (PhD, Physics; 2008) was a senior research associate in Department of Mathematics, Politecnico di Torino, Torino, Italy and also a research scientist in Micro and Nanotechnology Unit in Techfab s.r.l., Chivasso, Italy from 2009-2011.
Currently he is a research associate in the Institute for Mathematical Research, UPM, Malaysia. He is also a founder member of the International Science Association (ISCASS), Ankara, Turkey and head of the Department of Complexity and Network Dynamics, ISCASS. He has 11 books and total 75 research articles in the field of Nonlinear Dynamics and its various applications. His current research area includes Chaotic systems, Laser and Plasma, Synchronization, Cryptography, Genetic Engineering and Soft Computing, Social and Neural networks, Non linearity in Management, Econophysics etc. He has organized many international Conferences. He was a keynote speaker in many International Symposiums, also reviewer of more that 30 SCI indexed international journals. He is an editor of "International Journal of Chaos and Complex Systems" (IJCCS) under ISCASS.